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Homogenized mechanical properties of auxetic composite materials in finite-strain elasticity

Kochmann, Dennis M. and Venturini, Gabriela N. (2013) Homogenized mechanical properties of auxetic composite materials in finite-strain elasticity. Smart Materials and Structures, 22 (8). Art. No. 084004. ISSN 0964-1726. doi:10.1088/0964-1726/22/8/084004. https://resolver.caltech.edu/CaltechAUTHORS:20130829-144736932

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Abstract

Careful microstructural design can result in materials with counterintuitive effective (macroscale) mechanical properties such as a negative Poisson’s ratio, commonly referred to as auxetic behavior. One specific approach to achieving auxetic behavior is to elastically connect structural elements with rotational degrees of freedom to result in elastic structures that unfold under uniaxial loading in specific directions, thereby giving rise to bi- or triaxial expansion, i.e. auxetic behavior (transverse expansion under uniaxial extension). This concept has been applied successfully to elastically coupled two-dimensional rigid rotational elements (such as rotating rectangles and triangles) which exhibit a negative effective in-plane Poisson’s ratio under uniaxial (ex)tension. Here, we adopt this fundamental design principle but take it to the next level by achieving auxetic behavior in finitely strained composites made of stiff inclusions in a hyperelastic matrix, and we study the resulting elastic properties under in-plane strain by numerical homogenization. Our results highlight the emergence of auxetic behavior based on geometric arrangement and properties of the base material and demonstrate a path towards simple inclusion–matrix composites with auxetic behavior.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0964-1726/22/8/084004 DOIArticle
ORCID:
AuthorORCID
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2013 IOP Publishing Ltd. Received 31 January 2013, in final form 20 April 2013; Published 22 July 2013.
Group:GALCIT
Subject Keywords:Condensed matter: structural, mechanical & thermal
Issue or Number:8
Classification Code:PACS: 62.20.D-; 81.40.Jj
DOI:10.1088/0964-1726/22/8/084004
Record Number:CaltechAUTHORS:20130829-144736932
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130829-144736932
Official Citation:Homogenized mechanical properties of auxetic composite materials in finite-strain elasticity Dennis M Kochmann and Gabriela N Venturini 2013 Smart Mater. Struct. 22 084004
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41003
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Aug 2013 22:12
Last Modified:10 Nov 2021 04:24

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